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math.NT2023
On -superirreducible polynomials over finite fields
Jonathan W. Bober, Lara Du, Dan Fretwell +2
We investigate -superirreducible polynomials, by which we mean irreducible polynomials that remain irreducible under any polynomial substitution of positive degree at most .…
math.NT2023
Newform Eisenstein Congruences of Local Origin
Dan Fretwell, Jenny Roberts
We give a general conjecture concerning the existence of Eisenstein congruences between weight newforms of square-free level and weight new Eisenstein series of…